Apparatus and method for displaying 3-dimensional image

ABSTRACT

An apparatus and method for displaying a three-dimensional (3D) image is disclosed. On a display panel, red, green and blue subpixels are alternately arranged in a row direction and subpixels having the same color are arranged in a column direction. A 3D image filter is disposed ahead of the display panel and includes a transparent area and a non-transparent area arranged alternately. An edge defining the width of the non-transparent area is inclined with respect to a vertical axis of the display panel. A controller assigns a view image to be displayed at a subpixel of the display panel according to an inclination angle of the edge.

CROSS-REFERENCE TO RELATED APPLICATION(S)

This application claims priority from Korean Patent Application No.10-2011-0061371, filed Jun. 23, 2011 and Korean Patent Application No.10-2011-0078279, filed Aug. 5, 2011, which are hereby incorporated byreference as if fully set forth herein.

BACKGROUND OF THE INVENTION

1. Field of the Invention

The present invention relates to an apparatus and method for displayinga three-dimensional (3D) image, and more particularly, to an apparatusand method for displaying a 3D image, which is able to display a 2-viewor multi-view image.

2. Discussion of the Related Art

Analog broadcast environments have been rapidly transitioned to digitalbroadcast environments. Thus, the amount of content for digitalbroadcasts has been considerably increased. In addition, as content fordigital broadcasts, content for displaying a three-dimensional (3D)image signal as a 3D image has been produced in addition to content fordisplaying a 2-dimensional (2D) image signal as a 2D image.

A technique of displaying a 3D image uses the principle of binoculardisparity so as to enable a viewer to perceive a 3D effect and includesa shutter glasses method, a non-glasses method, and a full-3D method.

SUMMARY OF THE INVENTION

Accordingly, the present invention is directed to an apparatus andmethod for displaying a 3-dimensional (3D) image that substantiallyobviate one or more problems due to limitations and disadvantages of therelated art.

An object of the present invention is to provide an apparatus and methodfor displaying a 3D image, which is able to prevent a moiré phenomenongenerated while displaying the 3D image.

Another object of the present invention is to provide an apparatus andmethod for displaying a 3D image, which is able to improve crosstalk dueto viewer motion while viewing the 3D image and improve resolution ofthe 3D image.

Another object of the present invention is to provide an apparatus andmethod for displaying a 3D image, which is able to display both a2-dimensional (2D) image and the 3D image.

Another object of the present invention is to provide an apparatus andmethod for displaying a 3D image, which is able to provide a wide sweetspot so as to enlarge a viewing angle of a viewer and remarkably reducecrosstalk and flipping generated while the viewer moves.

Another object of the present invention is to provide an apparatus andmethod for displaying a 3D image, which is able to prevent crosstalk andflipping from being generated due to viewer motion while viewing a 3Dimage.

Additional advantages, objects, and features of the invention will beset forth in part in the description which follows and in part willbecome apparent to those having ordinary skill in the art uponexamination of the following or may be learned from practice of theinvention. The objectives and other advantages of the invention may berealized and attained by the structure particularly pointed out in thewritten description and claims hereof as well as the appended drawings.

To achieve these objects and other advantages and in accordance with thepurpose of the invention, as embodied and broadly described herein, anapparatus for displaying a three-dimensional (3D) image includes adisplay panel on which red, green and blue subpixels are alternatelyarranged in a row direction and subpixels having the same color arearranged in a column direction, a 3D image filter disposed ahead of thedisplay panel and including a transparent area and a non-transparentarea arranged alternately, an edge defining the width of thenon-transparent area being inclined with respect to a vertical axis ofthe display panel, and a controller configured to assign a view image tobe displayed at a subpixel of the display panel according to aninclination angle of the edge.

The 3D image filter may be formed such that the width of thenon-transparent area corresponds to the total width of four subpixels.

The 3D image filter may be formed such that the width of the transparentarea corresponds to the width of one subpixel.

In the 3D image filter, the edge of the non-transparent area may beformed to pass through a point spaced apart from a start point by thewidth of the non-transparent area in the row direction and spaced apartfrom the start point by the total length of a predetermined number ofsubpixels in the column direction.

An inclination angle α of the edge may be arctan(4Ph/3Pv), Ph may denotethe width of the subpixel and Pv may denote the length of the subpixel.

If the edge is inclined to the right with respect to the vertical axisof the display panel, as a view image to be displayed at a subpixel, thecontroller assigns a view image having an allocation number greater thanthat of a view image of a previous subpixel in the row direction by afirst number and assigns a view image having an allocation number havinga difference between the allocation number of the view image, which isgreater than that of the view image of the previous subpixel by thefirst number, and a maximum allocation number if the view image havingthe allocation number greater than that of the view image of theprevious subpixel by the first number is not present, and assigns a viewimage having an allocation number greater than that of a view image of aprevious subpixel in the column direction by a second number and assignsa view image having an allocation number having a difference between theallocation number of the view image, which is greater than that of theview image of the previous subpixel by the second number, and a maximumallocation number if the view image having the allocation number greaterthan that of the view image of the previous subpixel by the secondnumber is not present.

If the edge is inclined to the left with respect to the vertical axis ofthe display panel, as a view image to be displayed at a subpixel, thecontroller assigns a view image having an allocation number less thanthat of a view image of a previous subpixel in the row direction by afirst number and assigns a view image having an allocation number havinga sum of the allocation number of the view image, which is less thanthat of the view image of the previous subpixel by the first number, anda maximum allocation number if the view image having the allocationnumber less than that of the view image of the previous subpixel by thefirst number is not present, and assigns a view image having anallocation number greater than that of a view image of a previoussubpixel in the column direction by a second number and assigns a viewimage having an allocation number having a difference between theallocation number of the view image, which is greater than that of theview image of the previous subpixel by the second number, and a maximumallocation number if the view image having the allocation number greaterthan that of the view image of the previous subpixel by the secondnumber is not present.

The controller may further control activation and deactivation of thenon-transparent area of the 3D image filter according to the kind of thedisplayed image.

The apparatus may further include a backlight arranged behind thedisplay panel, for supplying light to the display panel.

The display panel may be a Plasma Display Panel (PDP) or a LiquidCrystal Display (LCD).

In another aspect of the present invention, an apparatus for displayinga three-dimensional (3D) image includes a display panel on which red,green and blue subpixels are alternately arranged in a row direction andsubpixels having the same color are arranged in a column direction, alenticular lens substrate arranged ahead of the display panel andincluding a plurality of lenses, a vertical axis of each of which isinclined with respect to a vertical axis of the display panel, and acontroller configured to assign a view image to be displayed at asubpixel of the display panel according to an inclination angle of thevertical axis of the lens.

The width of the lens may correspond to the total width of 5 subpixels.

An inclination angle α of the vertical axis of the lens may bearctan(4Ph/3Pv), Ph may denote the width of the subpixel and Pv maydenote the length of the subpixel.

If the vertical axis of the lens is inclined to the right with respectto the vertical axis of the display panel, as a view image to bedisplayed at a subpixel, the controller assigns a view image having anallocation number greater than that of a view image of a previoussubpixel in the row direction by a first number and assigns a view imagehaving an allocation number having a difference between the allocationnumber of the view image, which is greater than that of the view imageof the previous subpixel by the first number, and a maximum allocationnumber if the view image having the allocation number greater than thatof the view image of the previous subpixel by the first number is notpresent, and assigns a view image having an allocation number greaterthan that of a view image of a previous subpixel in the column directionby a second number and assigns a view image having an allocation numberhaving a difference between the allocation number of the view image,which is greater than that of the view image of the previous subpixel bythe second number, and a maximum allocation number if the view imagehaving the allocation number greater than that of the view image of theprevious subpixel by the second number is not present.

If the vertical axis of the lens is inclined to the left with respect tothe vertical axis of the display panel, as a view image to be displayedat a subpixel, the controller assigns a view image having an allocationnumber less than that of a view image of a previous subpixel in the rowdirection by a first number and assigns a view image having anallocation number having a sum of the allocation number of the viewimage, which is less than that of the view image of the previoussubpixel by the first number, and a maximum allocation number if theview image having the allocation number less than that of the view imageof the previous subpixel by the first number is not present, and assignsa view image having an allocation number greater than that of a viewimage of a previous subpixel in the column direction by a second numberand assigns a view image having an allocation number having a differencebetween the allocation number of the view image, which is greater thanthat of the view image of the previous subpixel by the second number,and a maximum allocation number if the view image having the allocationnumber greater than that of the view image of the previous subpixel bythe second number is not present.

The lenticular lens substrate may further include a lenticular arrayconfigured to convert transmitted light into circularly polarized light,and the controller may further control activation and deactivation ofthe lenticular array according to the kind of the displayed image.

The apparatus may further include a backlight arranged behind thedisplay panel, for supplying light to the display panel.

The display panel may be a Plasma Display Panel (PDP) or a LiquidCrystal Display (LCD).

In another aspect of the present invention, a method of displaying athree-dimensional (3D) image includes assigning view images to bedisplayed at subpixels of a display panel from among a plurality of viewimages according to an inclination angle of an edge defining the widthof a non-transparent area, displaying the assigned view images throughthe subpixels of the display panel, and separating the displayed viewimages using a transparent area formed between non-transparent areas.The edge is inclined with respect to a vertical axis of the displaypanel, and, on the display panel, red, green and blue subpixels arealternately arranged in a row direction and subpixels having the samecolor are arranged in a column direction.

In another aspect of the present invention, a method of displaying athree-dimensional (3D) image includes assigning view images to bedisplayed at subpixels of a display panel from among a plurality of viewimages according to an inclination angle of a vertical axis of a lens,displaying the assigned view images through the subpixels of the displaypanel, and refracting the displayed view images using the lens. Thevertical axis of the lens is inclined with respect to a vertical axis ofthe display panel, and, on the display panel, red, green and bluesubpixels are alternately arranged in a row direction and subpixelshaving the same color are arranged in a column direction.

In another aspect of the present invention, an apparatus for displayinga three-dimensional (3D) image includes a display panel on which red,green and blue subpixels are alternately arranged in a row direction andsubpixels having the same color are arranged in a column direction, a 3Dimage filter disposed ahead of the display panel and including atransparent area and a non-transparent area arranged alternately, and acontroller configured to determine a view image to be displayed at eachsubpixel of the display panel to one of two view images based on numbersallocated to the subpixels of the display panel. The numbers arenon-continuously allocated to neighboring subpixels. Turn of a numberallocated to a subpixel and turn of a number allocated to a subpixelneighboring with the subpixel are non-continuously.

The apparatus may further include a memory configured to storeinformation indicating the numbers allocated to the subpixels of thedisplay panel.

The controller may calculate the numbers based on stored information anddetected information. The detected information may be informationindicating the positions of viewer's eyes. The detected information maybe information indicating the position of a center point of both eyes ofthe viewer. The controller may calculate the numbers such that thecenter point of both eyes of the viewer matches a multi-view centerpoint.

The numbers allocated to the subpixels of the display panel may be 15values. Seven values of the 15 values may be associated with one of thetwo view images and the remaining eight values may be associated withthe other of the two view images.

One of the two view images may be a left view image and the other of thetwo view images may be a right view image.

An edge defining the width of the non-transparent area may be inclinedwith respect to a vertical axis of the display panel. The numbersallocated to the subpixels of the display panel may be changed accordingto an inclination direction of the edge. An inclination angle α of theedge may be arctan(4Ph/3Pv). Here, Ph denotes the width of the subpixeland Pv denotes the length of the subpixel.

Each of the numbers of the subpixels of the display panel may be anumber greater than a number allocated to a previous subpixel in the rowdirection by a first number or a difference between the number greaterthan the number allocated to the previous subpixel by the first numberand a maximum number if the number greater than the number allocated tothe previous subpixel by the first number is not present, and may be anumber greater than a number allocated to a previous subpixel in thecolumn direction by a second number or a difference between the numbergreater than the number allocated to the previous subpixel by the secondnumber and the maximum number if the number greater than the numberallocated to the previous subpixel by the second number is not present.

Each of the numbers of the subpixels of the display panel may be anumber less than a number allocated to a previous subpixel in the rowdirection by a first number or a sum of the number less than the numberallocated to the previous subpixel by the first number and a maximumnumber if the number less than the number allocated to the previoussubpixel by the first number is not present, and may be a number greaterthan a number allocated to a previous subpixel in the column directionby a second number or a difference between the number greater than thenumber allocated to the previous subpixel by the second number and themaximum number if the number greater than the number allocated to theprevious subpixel by the second number is not present.

The controller may further control activation and deactivation of thenon-transparent area of the 3D image filter according to the kind of thedisplayed image.

In another aspect of the present invention, an apparatus for displayinga three-dimensional (3D) image includes a display panel on which red,green and blue subpixels are alternately arranged in a row direction andsubpixels having the same color are arranged in a column direction, alenticular lens substrate disposed ahead of the display panel andincluding a plurality of lenses, and a controller configured todetermine a view image to be displayed at each subpixel of the displaypanel to one of two view images based on numbers allocated to thesubpixels of the display panel. The numbers are non-continuouslyallocated to neighboring subpixels. Turn of a number allocated to asubpixel and turn of a number allocated to a subpixel neighboring withthe subpixel are non-continuously.

The apparatus may further include a memory configured to storeinformation indicating the numbers allocated to the subpixels of thedisplay panel.

The controller may calculate the numbers based on stored information anddetected information. The detected information may be informationindicating the positions of viewer's eyes. The detected information maybe information indicating the position of a center point of both eyes ofthe viewer. The controller may calculate the numbers such that thecenter point of both eyes of the viewer matches a multi-view centerpoint.

The numbers allocated to the subpixels of the display panel may be 15values. Seven values of the 15 values may be associated with one of thetwo view images and the remaining eight values may be associated withthe other of the two view images.

One of the two view images may be a left view image and the other of thetwo view images may be a right view image.

Each of the numbers of the subpixels of the display panel may be anumber greater than a number allocated to a previous subpixel in the rowdirection by a first number or a difference between the number greaterthan the number allocated to the previous subpixel by the first numberand a maximum number if the number greater than the number allocated tothe previous subpixel by the first number is not present, and may be anumber greater than a number allocated to a previous subpixel in thecolumn direction by a second number or a difference between the numbergreater than the number allocated to the previous subpixel by the secondnumber and the maximum number if the number greater than the numberallocated to the previous subpixel by the second number is not present.

Each of the numbers of the subpixels of the display panel may be anumber less than a number allocated to a previous subpixel in the rowdirection by a first number or a sum of the number less than the numberallocated to the previous subpixel by the first number and a maximumnumber if the number less than the number allocated to the previoussubpixel by the first number is not present, and may be a number greaterthan a number allocated to a previous subpixel in the column directionby a second number or a difference between the number greater than thenumber allocated to the previous subpixel by the second number and themaximum number if the number greater than the number allocated to theprevious subpixel by the second number is not present.

A vertical axis of the plurality of lenses may be inclined with respectto a vertical axis of the display panel. The numbers allocated to thesubpixels of the display may be changed according to an inclinationdirection of the vertical axis of the lenses. An inclination angle α ofthe vertical axis of the lenses may be arctan(4Ph/3Pv). Here, Ph denotesthe width of the subpixel and Pv denotes the length of the subpixel.

The lenticular lens substrate may further include a lenticular arrayconfigured to convert transmitted light into circularly polarized light,and the controller may further control activation and deactivation ofthe lenticular array according to the kind of the displayed image.

In another aspect of the present invention, a method of displaying athree-dimensional (3D) image includes determining a view image to bedisplayed at each subpixel of a display panel to one of two view imagesbased on numbers allocated to the subpixels of the display panel,displaying the determined view images through the subpixels of thedisplay panel, and separating the displayed view images using atransparent area formed between non-transparent areas. An edge definingthe width of the non-transparent area is inclined with respect to avertical axis of the display panel, and, on the display panel, red,green and blue subpixels are alternately arranged in a row direction,subpixels having the same color are arranged in a column direction, andthe numbers are non-continuously allocated to neighboring subpixels.Turn of a number allocated to a subpixel and turn of a number allocatedto a subpixel neighboring with the subpixel are non-continuously.

In another aspect of the present invention, a method of displaying athree-dimensional (3D) image includes determining a view image to bedisplayed at each subpixel of a display panel to one of two view imagesbased on numbers allocated to the subpixels of the display panel,displaying the determined view images through the subpixels of thedisplay panel, and refracting the displayed view images using a lens. Avertical axis of the lens is inclined with respect to a vertical axis ofthe display panel, and, on the display panel, red, green and bluesubpixels are alternately arranged in a row direction, subpixels havingthe same color are arranged in a column direction, and the umbers arenon-continuously allocated to neighboring subpixels. Turn of a numberallocated to a subpixel and turn of a number allocated to a subpixelneighboring with the subpixel are non-continuously.

It is to be understood that both the foregoing general description andthe following detailed description of the present invention areexemplary and explanatory and are intended to provide furtherexplanation of the invention as claimed.

BRIEF DESCRIPTION OF THE DRAWINGS

The accompanying drawings, which are included to provide a furtherunderstanding of the invention and are incorporated in and constitute apart of this application, illustrate embodiment(s) of the invention andtogether with the description serve to explain the principle of theinvention. In the drawings:

FIG. 1 is a block diagram showing the configuration of an apparatus fordisplaying a three-dimensional (3D) image according to an exemplaryembodiment of the present invention;

FIG. 2 is a diagram showing arrangement of subpixels of a display panel;

FIG. 3 is a diagram showing multi-view image separation of a 3D imagefilter;

FIG. 4 is a diagram showing 2-view image separation of a 3D imagefilter;

FIG. 5 is a diagram showing a 3D image filter, in which anon-transparent area is inclined, according to an exemplary embodimentof the present invention;

FIG. 6 is a diagram showing arrangement of multiple view images to bedisplayed at subpixels according to an exemplary embodiment of thepresent invention;

FIG. 7 is a diagram showing arrangement of 2 view images to be displayedat subpixels according to an exemplary embodiment of the presentinvention;

FIG. 8 is a diagram showing arrangement of 2 view images to be displayedat subpixels according to another embodiment of the present invention;

FIG. 9 is a diagram showing arrangement of 2 view images to be displayedat subpixels according to another embodiment of the present invention;

FIG. 10 is a diagram showing a 3D image filter, in which anon-transparent area is inclined, according to an exemplary embodimentof the present invention;

FIG. 11 is a diagram showing arrangement of view images to be displayedat subpixels according to another embodiment of the present invention;

FIG. 12 is a diagram showing arrangement of 2 view images to bedisplayed at subpixels according to another embodiment of the presentinvention;

FIG. 13 is a diagram showing arrangement of 2 view images to bedisplayed at subpixels according to another embodiment of the presentinvention;

FIG. 14 is a diagram showing arrangement of 2 view images to bedisplayed at subpixels according to another embodiment of the presentinvention;

FIG. 15 is a flowchart illustrating a method of displaying a 3D imageaccording to an exemplary embodiment of the present invention;

FIG. 16 is a block diagram showing the configuration of an apparatus fordisplaying a 3D image according to another embodiment of the presentinvention;

FIG. 17 is a diagram showing arrangement of the apparatus for displayingthe 3D image of FIG. 16;

FIG. 18 is a diagram showing a liquid crystal lenticular principle;

FIG. 19 is a diagram showing the structure of a lenticular lenssubstrate according to an exemplary embodiment of the present invention;

FIG. 20 is a diagram showing a light path adjusted according to apolarization state of light input to the lenticular lens substrate ofFIG. 19;

FIG. 21 is a diagram showing a lenticular lens substrate, in which alens is inclined, according to an exemplary embodiment of the presentinvention;

FIG. 22 is a diagram showing a lenticular lens substrate, in which alens is inclined, according to an exemplary embodiment of the presentinvention; and

FIG. 23 is a flowchart illustrating a method of displaying a 3D imageaccording to an exemplary embodiment of the present invention.

DETAILED DESCRIPTION OF THE INVENTION

Reference will now be made in detail to the preferred embodiments of thepresent invention, examples of which are illustrated in the accompanyingdrawings. The configuration and action of the present invention shown inthe drawings and described with reference to the drawings will bedescribed as at least one embodiment; however, the technical idea andthe core configuration and action of the present invention are notlimited thereto.

In addition, although the terms used in the present invention areselected from generally known and used terms, some of the termsmentioned in the description of the present invention, the detailedmeanings of which are described in relevant parts of the descriptionherein, have been selected at the discretion of the applicant.Furthermore, the present invention must be understood, not simply by theactual terms used but by the meanings of each term lying within.

FIG. 1 is a block diagram showing the configuration of an apparatus fordisplaying a three-dimensional (3D) image according to an exemplaryembodiment of the present invention.

Referring to FIG. 1, the 3D image display apparatus 100 according to thepresent invention may include a display panel 110, a 3D image filter120, a controller 130, a backlight 140, and a memory 150.

The display panel 110 includes a plurality of subpixels so as to displayan image. The image may be a 2-dimensional (2D) image or a 3D image. The3D image may be a stereo-view image or multi-view image. The stereo-viewimage refers to a pair of left and right images acquired byphotographing the same subject using a left camera and a right cameraspaced apart from each other by a constant distance. The multi-viewimage refers to three or more images acquired by photographing the samesubject using three or more cameras each having a constant distance orangle, and the image acquired by each camera is defined as a view image.That is, the 3D image may include at least one piece of left view imagedata and at least one piece of right view image data.

The display panel 110 adjusts light generated therein or light receivedfrom the backlight 140 and displays an image.

The display panel 110 may be implemented by a plasma display panel (PDP)or a liquid crystal display (LCD). If the display panel 110 isimplemented by an LCD, since the LCD does not have a self-emissionfunction, the 3D image display device 100 may further include thebacklight 140 as a light supply source. If the display panel 110 isimplemented by a PDP, the 3D image display device 100 may not includethe backlight 140.

FIG. 2 is a diagram showing arrangement of subpixels of a display panel.

Referring to FIG. 2, red, green and blue subpixels are alternatelyarranged on the display panel 200 in a row direction. The row directionrefers to a direction from a subpixel 211 to a subpixel 214 throughsubpixels 212 and 213. Since the red, green and blue subpixels arealternately arranged in the row direction, the subpixel 211 of a firstrow and a first column is a red (R) subpixel, the subpixel 212 of afirst row and a second column is a green (G) subpixel, and the subpixel213 of a first row and a third column is a blue (B) subpixel. Inaddition, the subpixel 214 of a first row and a fourth column is a redsubpixel.

Subpixels having the same color are arranged on the display panel 200 ina column direction. The column direction refers to a direction from thesubpixel 211 to a subpixel 231 through a subpixel 221. Since thesubpixels having the same color are arranged in the column direction, asubpixel 221 of a second row and a first column is a red subpixel,similarly to the subpixel 211. A subpixel 222 of a second row and asecond column is a green subpixel, similarly to the subpixel 212. Asubpixel 223 of a second row and a third column is a blue subpixel,similarly to the subpixel 213, and a subpixel 224 of a second row and afourth column is a red subpixel, similarly to the subpixel 214.

A numeral shown in each subpixel denotes the allocation number of a viewimage which will be displayed at a subpixel. For example, since anumeral “1” is shown in the subpixel 211, the subpixel 211 displays afirst view image, that is, a view image having an allocation numberof 1. Since a numeral “4” is shown in the subpixel 212, the subpixel 212displays a fourth view image, that is, a view image having an allocationnumber of 4. Since a numeral “5” is shown in the subpixel 221, thesubpixel 221 displays a fifth view image, that is, a view image havingan allocation number of 5. Since a numeral “8” is shown in the subpixel222, the subpixel 222 displays an eighth view image, that is, a viewimage having an allocation number of 8.

A pixel value to be displayed in a view image is determined according tothe position of the subpixel. For example, since the subpixel 211 islocated at the first row and the first column, a pixel valuecorresponding to the first row and the first column of the first viewimage is displayed. Since the subpixel 222 is located at the second rowand the second column, a pixel value corresponding to the second row andthe second column of the eighth view image is displayed.

The pixel value to be displayed in the view image is determinedaccording to the kind of the subpixel. For example, since the kind ofthe subpixel 211 is a red subpixel, a red pixel value of pixel valuescorresponding to the first row and the first column of the first viewimage is displayed. Since the kind of the subpixel 222 is a greensubpixel, a green pixel value of pixel values corresponding to thesecond row and the second column of the eighth view image is displayed.

In some embodiment, a numeral shown in each subpixel may be associatedwith a view image to be displayed at the subpixel between a left viewimage and a right view image. For example, 1 to 7 may be associated withthe left view image and 8 to 15 may be associated with the right viewimage. In this case, since a numeral “1” is shown in the subpixel 211,the subpixel 211 displays a red pixel value of pixel valuescorresponding to a first row and a first column of the left view image.Since a numeral “4” is shown in the subpixel 212, the subpixel 212displays a green pixel value of pixel values corresponding to a firstrow and a second column of the left view image. Since a numeral “5” isshown in the subpixel 221, the subpixel 221 displays a red pixel valueof pixel values corresponding to a second row and a first column of theleft view image. Since a numeral “8” is shown in the subpixel 222, thesubpixel 222 displays a green pixel value of pixel values correspondingto a second row and a second column of the right view image. Since anumeral “9” is shown in the subpixel 231, the subpixel 231 displays ared pixel value of pixel values corresponding to a third row and a firstcolumn of the right view image.

The display panel 110 of FIG. 1 may have arrangement of subpixels of thedisplay panel 200 of FIG. 2 or arrangement of subpixels different fromthat of the display panel 200 of FIG. 2. That is, the display panel 110of FIG. 1 may have subpixels arranged in order of red, blue greensubpixels, in order of green, blue and red subpixels or in order ofgreen, red and blue subpixels in the row direction. The display panel110 of FIG. 1 may have subpixels arranged in order of blue, red andgreen subpixels or in order of blue, green and red subpixels in the rowdirection.

The display panel 110 of FIG. 1 may have red, green and blue subpixelsalternately arranged in the column direction and subpixels having thesame color arranged in the row direction.

The 3D image filter 120 enables a viewer to view a multi-view imagedisplayed on the display panel 110 as a 3D image and may includetransparent areas and non-transparent areas arranged at a constant gap.Light emitted from the display panel 110 transmits through thetransparent areas to reach the right eye or left eye of the viewer. The3D image filter 120 may be a liquid crystal parallax barrier. Thetransparent area may be an aperture.

If the 3D image filter 120 is a liquid crystal parallax barrier, thenon-transparent area may be a barrier and a pair of transparent area andnon-transparent area is referred to as a pitch. The transparent area andthe non-transparent area of the 3D image filter 120 may be moved underthe control of the controller 130. At this time, the 3D image filter 120may be fixed.

The non-transparent area of the 3D image filter 120 may be activated ordeactivated. If the non-transparent area is activated, thenon-transparent area blocks incident light. If the non-transparent areais deactivated, the non-transparent area transmits incident light.

FIG. 3 is a diagram showing multi-view image separation of a 3D imagefilter.

Referring to FIG. 3, the 3D image display apparatus 300 includes adisplay panel 310 for displaying a multi-view image (parallax image) inwhich a plurality of view images is mixed and a 3D image filter 320disposed in front of the display panel 310 and having non-transparentareas 321 and transparent areas 322 arranged at a constant gap.

The 3D image filter 320 is separated from the display panel 310 by aconstant distance. The non-transparent areas 321 and the transparentareas 322 are alternately arranged in a direction parallel to thedisplay panel 310.

When the display panel 310 displays view images included in a multi-viewimage through subpixels, the viewer views the displayed view imagesthrough the 3D image filter 320. Each of the left eye and right eye ofthe viewer independently views one of the view images provided by thedisplay panel 310, such that the viewer perceives a 3D effect.

A point where the viewer views a 3D image well is referred to as a sweetspot. That is, the sweet spot refers to a point where crosstalk, whereinview images overlap each other, does not occur. A sweet spot for viewinga fourth image may be a point 331 and a sweet spot for viewing a tenthimage may be a point 333. If the right eye of the viewer is located atthe point 333 and the left eye of the viewer is located at the point331, the viewer can view the tenth image through the right eye and thefourth image through the left eye so as to view the 3D image using thefourth image and the tenth image.

The 3D image display apparatus 100 may be the 3D image display apparatus300 or a 3D image display apparatus having the 3D image filter 120arranged on a rear surface of the display panel 110.

FIG. 4 is a diagram showing 2-view image separation of a 3D imagefilter.

Referring to FIG. 4, a 3D image display apparatus includes a displaypanel 410 for displaying a multi-view image (parallax image) in which aplurality of view images is mixed and a 3D image filter 420 disposedahead of the display panel 410 and having non-transparent areas 421 andtransparent areas 422 arranged at a constant gap.

The 3D image filter 420 is separated from the display panel 410 by aconstant distance. The non-transparent areas 421 and the transparentareas 422 are alternately arranged in a direction parallel to thedisplay panel 410.

When the display panel 410 displays a left view image L and a right viewimage R through subpixels, the viewer views the displayed left viewimage L and right view image R through the 3D image filter 420. At thistime, the viewer views the displayed left view image L and right viewimage R as independent view images according to the numbers allocated tothe subpixels. That is, the display panel 410 displays the 2-view imageas multi-view image, and each of the left eye and right eye of theviewer independently views one of the view images provided by thedisplay panel 410, such that the viewer perceives a 3D effect. Eachnumeral shown in the display panel 410 may be number allocated to eachsubpixel or the number of the view image viewed to the user.

A sweet spot for viewing a fourth image may be a point 431 and a sweetspot for viewing a tenth image may be a point 433. If the right eye ofthe viewer is located at the point 433 and the left eye of the viewer islocated at the point 431, the viewer can view the tenth image throughthe right eye and view the fourth image through the left eye so as toview the 3D image using the fourth image and the tenth image. Here, thefourth view image and the tenth view image are the left view image L andthe right view image R, respectively.

The 3D image display apparatus 100 may be the 3D image display apparatus400 or a 3D image display apparatus having the 3D image filter 120arranged on a rear surface of the display panel 100.

FIG. 5 is a diagram showing a 3D image filter, in which anon-transparent area is inclined, according to an exemplary embodimentof the present invention.

Referring to FIG. 5, a barrier period of the 3D image filter 120 may be5 subpixels 555. The barrier period is a sum of the width of thenon-transparent area and the width of the transparent area. The width ofthe non-transparent area may correspond to the total width of foursubpixels and the width of the transparent area may correspond to thewidth of one subpixel. For example, the width of the non-transparentarea 510 or the non-transparent area 520 corresponds to the total width565 of four subpixels. The width of the transparent area 515 correspondsto the width 561 of one subpixel.

An edge defining the width of the non-transparent area may be inclinedwith respect to a vertical axis 501 of the display panel. For example,an edge 511 of the non-transparent area 510 is inclined with respect tothe vertical axis 501 of the display panel.

The edge of the non-transparent area may be formed to pass through apoint spaced apart from a start point to the left side of the startpoint by the width of the non-transparent area and spaced apart from thestart point by the total length of a predetermined number of subpixelsin the column direction. The predetermined number of subpixels may bethree subpixels. That is, the edge of the non-transparent area may beformed to pass through a point b1 spaced apart from a start point a1 tothe left side of the start point a1 by the width of the non-transparentarea and spaced apart from the start point a1 by the total length ofthree subpixels in the column direction.

An inclination angle α 551 of the edge of the non-transparent area maybe arctan(4Ph/3Pv). Here, Ph denotes the width of the subpixel and Pvdenotes the length of the subpixel. For example, if Pv is three timesPh, the angle α may be arctan(4/9).

The edge of the non-transparent area may be inclined to the right orleft with respect to the vertical axis 501 of the display panel. FIG. 5shows the 3D image filter 120 in which the edge 511 of thenon-transparent area is inclined to the right with respect to thevertical axis 501 of the display panel 110.

The controller 130 determines a view image which will be displayed at asubpixel of the display panel 110. The controller 130 may determine theview image which will be displayed at the subpixel of the display panel110, according to at least one of the inclination direction of the edgeof the non-transparent area and the number of view images.

The controller 130 may control activation and deactivation of thenon-transparent areas of the 3D image filter according to the kind ofthe image to be displayed. If the displayed image is a 2D image, thecontroller 130 controls deactivation of the non-transparent areas. Ifthe displayed image is a 3D image, the controller 130 controlsactivation of the non-transparent areas.

If the edge of the non-transparent area is inclined to the right, thecontroller 130 may determine a view image having an allocation numbergreater than that of a view image of a previous subpixel in the rowdirection by a first number, as a view image to be displayed at asubpixel. If the view image having the allocation number greater thanthat of the view image of the previous subpixel by the first number isnot present, the controller 130 may determine a view image having anallocation number having a difference between the allocation number ofthe view image, which is greater than that of the view image of theprevious subpixel by the first number, and a maximum allocation number,as a view image to be displayed at a subpixel. If the edge of thenon-transparent area is inclined to the right, the controller 130 maydetermine a view image having an allocation number greater than that ofa view image of a previous subpixel in the column direction by a secondnumber, as a view image to be displayed at a subpixel. If the view imagehaving the allocation number greater than that of the view image of theprevious subpixel by the second number is not present, the controller130 may determine a view image having an allocation number having adifference between the allocation number of the view image, which isgreater than that of the view image of the previous subpixel by thesecond number, and a maximum allocation number, as a view image to bedisplayed at a subpixel. The first number and the second number may bedetermined based on at least one of the inclination angle of the edge ofthe non-transparent area and the number of view images.

If the edge of the non-transparent area is inclined to the left, thecontroller 130 may determine a view image having an allocation numberless than that of a view image of a previous subpixel in the rowdirection by a third number, as a view image to be displayed at asubpixel. If the view image having the allocation number less than thatof the view image of the previous subpixel by the third number is notpresent, the controller 130 may determine a view image having anallocation number having a sum of the allocation number of the viewimage, which is less than that of the view image of the previoussubpixel by the third number, and a maximum allocation number, as a viewimage to be displayed at a subpixel. If the edge of the non-transparentarea is inclined to the left, the controller 130 may determine a viewimage having an allocation number greater than that of a view image of aprevious subpixel in the column direction by a fourth number, as a viewimage to be displayed at a subpixel. If the view image having theallocation number greater than that of the view image of the previoussubpixel by the fourth number is not present, the controller 130 maydetermine a view image having an allocation number having a differencebetween the allocation number of the view image, which is greater thanthat of the view image of the previous subpixel by the fourth number,and a maximum allocation number, as a view image to be displayed at asubpixel. The third number and the fourth number may be determined basedon at least one of the inclination angle of the edge of thenon-transparent area and the number of view images.

The controller 130 may determine the view image to be displayed at eachsubpixel of the display panel 110 to one of two view images based on thenumbers allocated to the subpixels of the display panel 110. Here, oneof the two view images may be a left view image and the other of the twoview images may be a right view image. Here, the numbers may beallocated to the subpixels of the display panel 110 in advance or may becalculated based on at least one of information detected by thecontroller 130 or the inclination direction of the edge of thenon-transparent area. The detected information may be informationindicating the positions of the viewer's eyes or information indicatingthe position of a center point of the viewer's eyes. The controller 130may calculate the numbers such that the center point of both eyesmatches a multi-view center point.

If the edge of the non-transparent area is inclined to the right, thenumber allocated to the subpixel may be determined to a number greaterthan the number allocated to a previous subpixel in a row direction by afifth number. If the number greater than the number allocated to theprevious subpixel by the fifth number is not present, the numberallocated to the subpixel may be determined to a difference between thenumber greater than the number allocated to the previous subpixel by thefifth number and a maximum number. The number of the subpixel may bedetermined to a number greater than the number allocated to a previoussubpixel in a column direction by a sixth number. If the number greaterthan the number allocated to the previous subpixel by the sixth numberis not present, the number allocated to the subpixel may be determinedto a difference between the number greater than the number allocated tothe previous subpixel by the sixth number and a maximum number. Thefifth number and the sixth number may be determined based on at leastone of the inclination angle of the edge of the non-transparent area andthe number of numbers allocated to the subpixels.

If the edge of the non-transparent area is inclined to the left, thenumber allocated to the subpixel may be determined to a number less thanthe number allocated to a previous subpixel in a row direction by aseventh number. If the number less than the number allocated to theprevious subpixel by the seventh number is not present, the numberallocated to the subpixel may be determined to a sum of the number lessthan the number allocated to the previous subpixel by the seventh numberand a maximum number. The number allocated to the subpixel may bedetermined to a number greater than the number allocated to a previoussubpixel in a column direction by an eighth number. If the numbergreater than the number allocated to the previous subpixel by the eighthnumber is not present, the number allocated to the subpixel may bedetermined to a difference between the number greater than the numberallocated to the previous subpixel by the eighth number and a maximumnumber. The seventh number and the eighth number may be determined basedon at least one of the inclination angle of the edge of thenon-transparent area and the number of numbers allocated to thesubpixels.

The memory 150 may store information indicating the numbers allocated tothe subpixels of the display panel 110. The controller 130 may determinethe view image to be displayed at each subpixel of the display panel toone of two view images based on the stored information. The controller130 may calculate the numbers allocated to the subpixels based on thestored information and the detected information and determine the viewimage to be displayed on the display panel 110 to one of two view imagesbased on the calculated numbers. The detected information may beinformation indicating the positions of the viewer's eyes or informationindicating the position of the center point of the viewer's eyes. Thecontroller 130 may calculate the numbers such that the center point ofboth eyes matches a multi-view center point.

FIG. 6 is a diagram showing arrangement of multiple view images to bedisplayed at subpixels.

FIG. 6 shows arrangement of view images to be displayed at subpixels ifthe edge 602 of the non-transparent area is inclined to the right withrespect to the vertical axis 601 of the display panel 110 by an anglearctan(4/9). FIG. 6 shows arrangement of view images when 15 view imagesrespectively having allocation numbers 1 to 15 are displayed. FIG. 6shows arrangement of view images to be displayed at subpixels in thecase where the first number is set to 3 and the second number is set to4. The first number and the second number may be determined based on theangle 605.

Referring to FIG. 6, the controller 130 displays a first view imagehaving an allocation number of 1 at the subpixel 611 of the first rowand the first column. A view image to be displayed at the subpixel 612of the first row and the second column is a fourth view image having anallocation number greater than that of the first view image by the firstnumber of 3. A view image to be displayed at a subpixel 613 of the firstrow and the third column is a seventh view image having an allocationnumber greater than that of the fourth view image by the first number of3. A view image to be displayed at a subpixel of the first row and thefourth column is a tenth view image having an allocation number greaterthan that of the seventh view image by the first number of 3. A viewimage to be displayed at a subpixel of the first row and the fifthcolumn is a thirteenth view image having an allocation number greaterthan that of the tenth view image by the first number of 3. A view imageto be displayed at a subpixel of the first row and the sixth column is afirst view image having an allocation number having a difference 1between the allocation number 16 of a sixteenth view image and a maximumallocation number 15, because the sixteenth view image having theallocation number 16 greater than that of the thirteenth view image bythe first number of 3 is not present. A view image to be displayed at asubpixel of the first row and the seventh column is a fourth view imagehaving an allocation number greater than that of the first view image bythe first number of 3.

A view image 621 to be displayed at a subpixel of the second row and thefirst column is a fifth view image having an allocation number greaterthan that of the first view image, which is the view image of thesubpixel of the first row and the first column as the previous subpixelin the column direction, by the second number of 4. A view image 631 tobe displayed at a subpixel of the third row and the first column is aninth view image having an allocation number greater than that of thefifth view image by the second number of 4.

A view image 622 to be displayed at a subpixel of the second row and thesecond column is an eighth view image having an allocation numbergreater than that of the fifth view image, which is the view image ofthe subpixel of the second row and the first column, by the first numberof 3. The view image 622 is the eighth view image having an allocationnumber greater than that of the fourth view image, which is the viewimage of the subpixel of the first row and the second column, by thesecond number of 4, and is equal to the view image determined in the rowdirection.

As shown in FIG. 6, since the 3D image display device 100 according tothe present invention displays five view images among 15 view images inone row, it is possible to improve vertical resolution as compared tothe case where all 15 view images are displayed in one row. Since thenon-transparent area is inclined with respect to the vertical axis ofthe display panel in the 3D image display device 100 according to thepresent invention, a pattern in which a bright area and a dark area areregularly repeated is suppressed so as to reduce moiré phenomenon.

FIG. 7 is a diagram showing arrangement of 2 view images to be displayedat subpixels according to an exemplary embodiment of the presentinvention.

FIG. 7 shows an embodiment in which first to seventh view images arearranged as left view images and eighth to fifteenth view images arearranged as right view images in the embodiment of the arrangement ofthe multiple view images of FIG. 6. In FIG. 7, “L” denotes the left viewimage and “R” denotes the right view image.

The number shown in the subpixel in FIG. 6 may be the number allocatedto the subpixel in the embodiment of FIG. 7. That is, in the embodimentof FIG. 7, 15 numbers are allocated to the subpixels and the numbersallocated to the subpixels are 1 to 15. And the number's turn is thesame as the number. a number 3's turn is 3 and a number 5's turn is 5.

FIG. 7 shows arrangement of view images to be displayed at subpixels ifthe edge 702 of the non-transparent area is inclined to the right by anangle acrtan(4/9) with respect to the vertical axis 701 of the displaypanel 110. FIG. 7 shows arrangement of the view images to be displayedat subpixels if the fifth number is set to 3 and the sixth number of setto 4 and FIG. 6 shows the numbers allocated to the subpixels if thefifth number is set to 3 and the sixth number is set to 4. The fifthnumber and the sixth number may be determined based on the angle 705.

Referring to FIG. 7, the controller 130 determines the view images to bedisplayed at the subpixels, to which the numbers 1 to 7 are allocated,in FIG. 6 as left view images L and determines the view images to bedisplayed at the subpixels, to which the numbers 8 to 15 are allocatedto, as right view images R.

Since the number allocated to the subpixel 711 is 1, the subpixel 711displays the left view image L. Since the number allocated to thesubpixel 712 is 4, the subpixel 712 displays the left view image L.Since the number allocated to the subpixel 713 is 7, the subpixel 713displays the left view image L. Since the number allocated to thesubpixel 721 is 5, the subpixel 721 displays the left view image L.Since the number allocated to the subpixel 722 is 8, the subpixel 722displays the right view image R. Since the number allocated to thesubpixel 731 is 9, the subpixel 731 displays the right view image R.

FIG. 8 is a diagram showing arrangement of 2 view images to be displayedat subpixels according to another embodiment of the present invention.

FIG. 8 shows an embodiment in which first to eighth view images arearranged as left view images and ninth to fifteenth view images arearranged as right view images in the embodiment of the arrangement ofthe multiple view images of FIG. 6. In FIG. 8, “L” denotes the left viewimage and “R” denotes the right view image.

The number shown in the subpixel in FIG. 6 may be the number allocatedto the subpixel in the embodiment of FIG. 8. That is, in the embodimentof FIG. 8, 15 numbers are allocated to the subpixels and the numbersallocated to the subpixels are 1 to 15. And the number's turn is thesame as the number. A number 3's turn is 3 and a number 5's turn is 5.

FIG. 8 shows arrangement of view images to be displayed at subpixels ifthe edge 802 of the non-transparent area is inclined to the right by anangle acrtan(4/9) with respect to the vertical axis 801 of the displaypanel 110. FIG. 8 shows arrangement of the view images to be displayedat subpixels if the fifth number is set to 3 and the sixth number of setto 4 and FIG. 6 shows the numbers allocated to the subpixels if thefifth number is set to 3 and the sixth number is set to 4. The fifthnumber and the sixth number may be determined based on the angle 805.

Referring to FIG. 8, the controller 130 determines the view images to bedisplayed at the subpixels having numbers 1 to 8 in FIG. 6 as left viewimages L and determines the view images to be displayed at the subpixelshaving numbers 9 to 15 as right view images R.

Since the number allocated to the subpixel 811 is 1, the subpixel 811displays the left view image L. Since the number allocated to thesubpixel 812 is 4, the subpixel 812 displays the left view image L.Since the number allocated to the subpixel 813 is 7, the subpixel 813displays the left view image L. Since the number allocated to thesubpixel 821 is 5, the subpixel 821 displays the left view image L.Since the number allocated to the subpixel 822 is 8, the subpixel 822displays the left view image L. Since the number allocated to thesubpixel 831 is 9, the subpixel 831 displays the right view image R.

FIG. 9 is a diagram showing arrangement of 2 view images to be displayedat subpixels according to another embodiment of the present invention.

FIG. 9 shows an embodiment in which first to seventh view images arearranged as left view images, an eighth view image is arranged as animage having an average pixel value of the pixel value of the left viewimage and the pixel value of the right view image, and ninth tofifteenth view images are arranged as right view images in theembodiment of the arrangement of the multiple view images of FIG. 6. InFIG. 9, “L” denotes the left view image, “R” denotes the right viewimage, and “M” denotes the image having the average pixel value of thepixel value of the left view image and the pixel value of the right viewimage.

The number shown in the subpixel in FIG. 6 may be the number allocatedto the subpixel in the embodiment of FIG. 9. That is, in the embodimentof FIG. 9, 15 numbers are allocated to the subpixels and the numbersallocated to the subpixels are 1 to 15. And the number's turn is thesame as the number. A number 3's turn is 3 and a number 5's turn is 5.

FIG. 9 shows arrangement of view images to be displayed at subpixels ifthe edge 902 of the non-transparent area is inclined to the right by anangle acrtan(4/9) with respect to the vertical axis 901 of the displaypanel 110. FIG. 9 shows arrangement of the view images to be displayedat subpixels if the fifth number is set to 3 and the sixth number of setto 4 and FIG. 6 shows the numbers allocated to the subpixels if thefifth number is set to 3 and the sixth number is set to 4. The fifthnumber and the sixth number may be determined based on the angle 905.

Referring to FIG. 9, the controller 130 determines the view images to bedisplayed at the subpixels, to which the numbers 1 to 7 are allocated,in FIG. 6 as left view images L, determines the view image to bedisplayed at the subpixel, to which a number 8 is allocated, as theimage having the average pixel value M of the pixel value of the leftview image and the pixel value of the right view image, and determinesthe view images to be displayed at the subpixels, to which the numbers 9to 15 are allocated, as right view images R.

Since the number allocated to the subpixel 911 is 1, the subpixel 911displays the left view image L. Since the number allocated to thesubpixel 912 is 4, the subpixel 912 displays the left view image L.Since the number allocated to the subpixel 913 is 7, the subpixel 913displays the left view image L. Since the number allocated to thesubpixel 921 is 5, the subpixel 921 displays the left view image L.Since the number allocated to the subpixel 922 is 8, the subpixel 922displays the image having the average pixel value M of the pixel valueof the left view image and the pixel value of the right view image.Since the number allocated to the subpixel 931 is 9, the subpixel 931displays the right view image R.

In some embodiments, in the embodiments of FIGS. 7 to 9, the controller130 may determine the view images to be displayed at the subpixels basedon the numbers allocated to the subpixels of the display panel 110 suchthat the left view images and the right view images are exchanged witheach other. The controller 130 may determine the subpixels, to which thenumbers 1 to 7 are allocated, in FIG. 6 as the right view images R anddetermine the subpixels, to which the numbers 8 to 15 are allocated, asthe left view images L. Alternatively, the controller 130 may determinethe subpixels, to which the numbers 1 to 8 are allocated, in FIG. 6 asthe right view images R and determine the subpixels, to which thenumbers 9 to 15 are allocated, as the left view images L. As anotherexample, the controller 130 may determine the subpixels, to which thenumbers 1 to 7 are allocated, in FIG. 6 as the right view images R,determine the subpixel, to which the number 8 is allocated, as the imagehaving the average pixel value M of the pixel value of the left viewimage and the pixel value of the right view image, and determine thesubpixels, to which the numbers 9 to 15 are allocated, as the left viewimages L.

FIG. 10 is a diagram showing a 3D image filter, in which anon-transparent area is inclined, according to an exemplary embodimentof the present invention.

FIG. 10 shows a 3D image filter 120 in which the edge of thenon-transparent area is inclined to the left with respect to thevertical axis of the display panel.

Referring to FIG. 10, the edge of the non-transparent area may be formedto pass through a point spaced apart from a start point to the rightside of the start point by the width of the non-transparent area andspaced apart from the start point by the total length of a predeterminednumber of subpixels in the column direction. The predetermined number ofsubpixels may be three subpixels. That is, the edge 1011 of thenon-transparent area 1010 may be formed to pass through a point b2spaced apart from a start point a2 to the right side of the start pointa2 by the width of the non-transparent area and spaced apart from thestart point a2 by the total length of three subpixels in the columndirection. A transparent area 1015 is formed between the non-transparentarea 1010 and the non-transparent area 1020.

An inclination angle α 1051 between the edge of the non-transparent area1011 and the vertical axis 1001 of the display panel may bearctan(4Ph/3Pv). Here, Ph denotes the width of the subpixel and Pvdenotes the length of the subpixel. For example, if Pv is three timesPh, the angle α may be arctan(4/9).

FIG. 11 is a diagram showing arrangement of view images to be displayedat subpixels.

FIG. 11 shows arrangement of view images to be displayed at subpixels ifthe edge 1102 of the non-transparent area is inclined to the left withrespect to the vertical axis 1101 of the display panel 110 by an anglearctan(4/9). FIG. 11 shows arrangement of view images when 15 viewimages respectively having allocation numbers 1 to 15 are displayed.FIG. 11 shows arrangement of view images to be displayed at subpixels ifthe third number is set to 3 and the fourth number is set to 4. Thethird number and the fourth number may be determined based on the angle1105.

Referring to FIG. 11, the controller 130 displays a first view image atthe subpixel 1111 of the first row and the first column. A view image tobe displayed at the subpixel 1112 of the first row and the second columnis a thirteenth view image having an allocation number 13 which is a sumof an allocation number −2 less than that of the first view image by thethird number of 3 and a maximum allocation number 15, because the viewimage having the allocation number −2 less than that of the first viewimage by the third number of 3 is not present. A view image to bedisplayed at a subpixel 1113 of the first row and the third column is atenth view image having an allocation number less than that of thethirteenth view image by the third number of 3. A view image to bedisplayed at a subpixel of the first row and the fourth column is aseventh view image having an allocation number less than that of thetenth view image by the third number of 3. A view image to be displayedat a subpixel of the first row and the fifth column is a fourth viewimage having an allocation number less than that of the seventh viewimage by the third number of 3. A view image to be displayed at asubpixel of the first row and the sixth column is a first view imagehaving an allocation number less than that of the fourth view image bythe third number of 3. A view image to be displayed at a subpixel of thefirst row and the seventh column is a thirteenth view image having anallocation number 13 which is a sum of an allocation number −2 less thanthat of the first view image and a maximum allocation number 15, becausethe view image having the allocation number −2 less than that of thefirst view image by the third number of 3 is not present.

A view image 1121 to be displayed at a subpixel of the second row andthe first column is a fifth view image having an allocation numbergreater than that of the first view image, which is the view image ofthe subpixel of the first row and the first column as the previoussubpixel in the column direction, by the fourth number of 4. A viewimage 1131 to be displayed at a subpixel of the third row and the firstcolumn is a ninth view image having an allocation number greater thanthat of the fifth view image by the fourth number of 4.

A view image 1122 to be displayed at a subpixel of the second row andthe second column is a second view image having an allocation numberless than that of the fifth view image by the third number of 3. Theview image 1122 is the second view image having an allocation numberhaving a difference 2 between the allocation number 17 greater than theallocation number 13 of the view image of the subpixel of the first rowby the fourth number of 4 and the second column and a maximum allocationnumber 15, and is equal to the view image determined in the rowdirection.

The backlight 140 supplies light to the display panel 110. The backlight140 is disposed on the rear surface of the display panel 110 and mayinclude one or more backlight lamps and a circuit for driving the lamps.Light supplied by the backlight 140 may not have a polarized component.If the display panel 110 is a PDP, the 3D display apparatus 100 may nothave the backlight 140.

FIG. 12 is a diagram showing arrangement of 2 view images to bedisplayed at subpixels according to another embodiment of the presentinvention.

FIG. 12 shows an embodiment in which first to seventh view images arearranged as left view images and eighth to fifteenth view images arearranged as right view images in the embodiment of the arrangement ofthe multiple view images of FIG. 11. In FIG. 12, “L” denotes the leftview image and “R” denotes the right view image.

The number shown in the subpixel in FIG. 11 may be the number allocatedto the subpixel in the embodiment of FIG. 12. That is, in the embodimentof FIG. 12, 15 numbers are allocated to the subpixels and the numbersallocated to the subpixels are 1 to 15. And the number's turn is thesame as the number. a number 3's turn is 3 and a number 5's turn is 5.

FIG. 12 shows arrangement of view images to be displayed at subpixels ifthe edge 1202 of the non-transparent area is inclined to the left by anangle acrtan(4/9) with respect to the vertical axis 1201 of the displaypanel 110. FIG. 12 shows arrangement of the view images to be displayedat subpixels if the seventh number is set to 3 and the eighth number ofset to 4 and FIG. 11 shows the numbers allocated to the subpixels if theseventh number is set to 3 and the eighth number is set to 4. Theseventh number and the eighth number may be determined based on theangle 1205.

Referring to FIG. 12, the controller 130 determines the view images tobe displayed at the subpixels, to which the numbers 1 to 7 areallocated, in FIG. 11 as left view images L and determines the viewimages to be displayed at the subpixels, to which the numbers 8 to 15are allocated, as right view images R.

Since the number allocated to the subpixel 1211 is 1, the subpixel 1211displays the left view image L. Since the number allocated to thesubpixel 1212 is 13, the subpixel 1212 displays the right view image R.Since the number allocated to the subpixel 1213 is 10, the subpixel 1213displays the right view image R. Since the number allocated to thesubpixel 1221 is 5, the subpixel 1221 displays the left view image L.Since the number allocated to the subpixel 1222 is 2, the subpixel 1222displays the left view image L. Since the number allocated to thesubpixel 1231 is 9, the subpixel 1231 displays the right view image R.Since the number allocated to the subpixel 1225 is 8, the subpixel 1225displays the right view image R.

FIG. 13 is a diagram showing arrangement of 2 view images to bedisplayed at subpixels according to another embodiment of the presentinvention.

FIG. 13 shows an embodiment in which first to eighth view images arearranged as left view images and ninth to fifteenth view images arearranged as right view images in the embodiment of the arrangement ofthe multiple view images of FIG. 6. In FIG. 13, “L” denotes the leftview image and “R” denotes the right view image.

The number shown in the subpixel in FIG. 11 may be the number allocatedto the subpixel in the embodiment of FIG. 13. That is, in the embodimentof FIG. 13, 15 numbers are allocated to the subpixels and the numbersallocated to the subpixels are 1 to 15. And the number's turn is thesame as the number. A number 3's turn is 3 and a number 5's turn is 5.

FIG. 13 shows arrangement of view images to be displayed at subpixels ifthe edge 1302 of the non-transparent area is inclined to the left by anangle acrtan(4/9) with respect to the vertical axis 1301 of the displaypanel 110. FIG. 13 shows arrangement of the view images to be displayedat subpixels if the seventh number is set to 3 and the eighth number ofset to 4 and FIG. 11 shows the numbers allocated to the subpixels if theseventh number is set to 3 and the eighth number is set to 4. Theseventh number and the eighth number may be determined based on theangle 1305.

Referring to FIG. 13, the controller 130 determines the view images tobe displayed at the subpixels, to which the numbers 1 to 8 areallocated, in FIG. 11 as left view images L and determines the viewimages to be displayed at the subpixels, to which the numbers 9 to 15are allocated, as right view images R.

Since the number allocated to the subpixel 1311 is 1, the subpixel 1311displays the left view image L. Since the number allocated to thesubpixel 1312 is 13, the subpixel 1312 displays the right view image R.Since the number allocated to the subpixel 1313 is 10, the subpixel 1313displays the right view image R. Since the number allocated to thesubpixel 1321 is 5, the subpixel 1321 displays the left view image L.Since the number allocated to the subpixel 1322 is 2, the subpixel 1322displays the left view image L. Since the number allocated to thesubpixel 1331 is 9, the subpixel 1331 displays the right view image R.Since the number allocated to the subpixel 1325 is 8, the subpixel 1325displays the left view image L.

FIG. 14 is a diagram showing arrangement of 2 view images to bedisplayed at subpixels according to another embodiment of the presentinvention.

FIG. 14 shows an embodiment in which first to seventh view images arearranged as left view images, an eighth view image is arranged as animage having an average pixel value of the pixel value of the left viewimage and the pixel value of the right view image, and ninth tofifteenth view images are arranged as right view images in theembodiment of the arrangement of the multiple view images of FIG. 6. InFIG. 14, “L” denotes the left view image, “R” denotes the right viewimage, and “M” denotes the image having the average pixel value of thepixel value of the left view image and the pixel value of the right viewimage.

The number shown in the subpixel in FIG. 11 may be the number allocatedto the subpixel in the embodiment of FIG. 14. That is, in the embodimentof FIG. 14, 15 numbers are allocated to the subpixels and the numbersallocated to the subpixels are 1 to 15. The number's turn is the same asthe number. A number 3's turn is 3 and a number 5's turn is 5.

FIG. 14 shows arrangement of view images to be displayed at subpixels ifthe edge 1402 of the non-transparent area is inclined to the left by anangle acrtan(4/9) with respect to the vertical axis 1401 of the displaypanel 110. FIG. 14 shows arrangement of the view images to be displayedat subpixels if the seventh number is set to 3 and the eighth number ofset to 4 and FIG. 11 shows the numbers allocated to the subpixels if theseventh number is set to 3 and the eighth number is set to 4. Theseventh number and the eighth number may be determined based on theangle 1405.

Referring to FIG. 14, the controller 130 determines the view images tobe displayed at the subpixels, to which the numbers 1 to 7 areallocated, in FIG. 11 as left view images L, determines the view imageto be displayed at the subpixel, to which the number 8 is allocated, asthe image having the average pixel value M of the pixel value of theleft view image and the pixel value of the right view image, anddetermines the view images to be displayed at the subpixels to which thenumbers 9 to 15 are allocated, as right view images R.

Since the number allocated to the subpixel 1411 is 1, the subpixel 1411displays the left view image L. Since the number allocated to thesubpixel 1412 is 13, the subpixel 1412 displays the right view image R.Since the number allocated to the subpixel 1413 is 10, the subpixel 1413displays the right view image R. Since the number allocated to thesubpixel 1421 is 5, the subpixel 1421 displays the left view image L.Since the number allocated to the subpixel 1422 is 2, the subpixel 1422displays the left view image L. Since the number allocated to thesubpixel 1431 is 9, the subpixel 1431 displays the right view image R.Since the number allocated to the subpixel 1425 is 8, the subpixel 1425displays the image having the average pixel value M of the pixel valueof the left view image and the pixel value of the right view image.

In some embodiments, in the embodiments of FIGS. 12 to 14, thecontroller 130 may determine the view images to be displayed at thesubpixels based on the numbers allocated to the subpixels of the displaypanel 110 such that the left view images and the right view images areexchanged with each other. The controller 130 may determine thesubpixels, to which the numbers 1 to 7 are allocated, in FIG. 11 as theright view images R and determine the subpixels, to which the numbers 8to 15 are allocated, as the left view images L. Alternatively, thecontroller 130 may determine the subpixels, to which the numbers 1 to 8are allocated, in FIG. 11 as the right view images R and determine thesubpixels, to which the numbers 9 to 15 are allocated, as the left viewimages L. As another example, the controller 130 may determine thesubpixels, to which the numbers 1 to 7 are allocated, in FIG. 11 as theright view images R, determine the subpixel, to which the number 8 isallocated, as the image having the average pixel value M of the pixelvalue of the left view image and the pixel value of the right viewimage, and determine the subpixels, to which the numbers 9 to 15 areallocated, as the left view images L.

FIG. 15 is a flowchart illustrating a method of displaying a 3D imageaccording to an exemplary embodiment of the present invention.

Referring to FIG. 15, the controller 130 assigns a view image to bedisplayed at a subpixel of the display panel 110 (S100). Here, thecontroller 130 may check an inclination direction or an inclinationangle of the edge defining the width of the non-transparent area of the3D image filter 120 with respect to the vertical axis of the displaypanel 110. In addition, the controller 130 may check the number of viewimages included in the 3D image to be displayed. The controller 130 mayassign the view image to be displayed at the subpixel according to atleast one of the inclination direction or the inclination direction andthe number of view images.

If the edge is inclined to the right with respect to the vertical axisof the display panel 110, the controller 130 may assign the view imageto be displayed at the subpixel using the method described withreference to FIG. 6. If the edge is inclined to the left with respect tothe vertical axis of the display panel 110, the controller 130 mayassign the view image to be displayed at the subpixel using the methoddescribed with reference to FIG. 11.

If the edge is inclined to the right with respect to the vertical axisof the display panel 110, the numbers allocated to the subpixels may bedetermined according to the arrangement shown in FIG. 6. If the edge isinclined to the left with respect to the vertical axis of the displaypanel 110, the numbers allocated to the subpixels may be determinedaccording to the arrangement shown in FIG. 11. The controller 130 maycalculate the numbers allocated to the subpixels based on at least oneof the information stored in the memory 150, the inclination directionof the edge and the detected information.

In step S100, the controller 130 may determine the view image to bedisplayed at the subpixel of the display panel 110 to one of two viewimages based on the numbers allocated to the subpixels of the displaypanel 110. The controller 130 may determine the view image to bedisplayed at the subpixel using the methods described with reference toFIGS. 7 to 9 and 12 to 14.

The display panel 110 displays the view images (S110). Here, thesubpixels of the display panel 110 display subpixel values indicated bythe positions and kinds of the subpixels at the view images assigned instep S100. The backlight 140 may supply light to the display panel 110.

The 3D image filter 120 separates light passing through the displaypanel 110 (S120). The light separated by the 3D image filter 120 ismoved to a sweet spot along the path described with reference to FIG. 3or 4.

FIG. 16 is a block diagram showing the configuration of an apparatus fordisplaying a 3D image according to another embodiment of the presentinvention.

Referring to FIG. 16, the 3D image display apparatus 100 according tothe present invention may include a display panel 1610, a lenticularlens substrate 1620, a controller 1630 and a backlight 1640.

The display panel 1610 and the backlight 1640 respectively correspond tothe display panel 110 and the backlight 140 shown in FIG. 1. For thedisplay panel 1610 and the backlight 1640, refer to the description ofthe display panel 110 and the backlight 140.

The lenticular lens substrate 1620 may include a plurality of lenses.The lenses may refract light received from the display panel 1610 suchthat a viewer views a multi-view image displayed on the display panel1610 as a 3D image. The lenses may be moved under the control of thecontroller 1630. At this time, the lenticular lens substrate 1620 may befixed. One lens included in the lenticular lens substrate 1620 may becalled pitch.

FIG. 17 is a diagram showing arrangement of the apparatus for displayingthe 3D image of FIG. 16.

Referring to FIG. 17, the lenticular lens substrate 1720 may be disposedahead of the display panel 1710. The display panel may be disposed aheadof a backlight 1740. At this time, the lenticular lens substrate 1720may be disposed to be spaced apart from the display panel 1710 by apredetermined distance I such that an image is placed on a focal surfaceof the lenticular lens.

The lenticular lens substrate 1720 may be a liquid crystal lenticularfilter. In this case, a lens 1721, a lens 1722, a lens 1723, a lens 1724and a lens 1725 included in the lenticular lens substrate 1720 may beliquid crystal lenses.

FIG. 18 is a diagram showing a liquid crystal lenticular principle.

Referring to FIG. 18, a liquid crystal lenticular filter 1820 mayinclude transparent electrodes (ITO) 1821 and 1822 and liquid crystal LCinterposed between the transparent electrodes. The liquid crystallenticular filter 1820 adjusts refraction of light emitted from thedisplay panel 1810 through the liquid crystal LC such that view imagesare located at appropriate sweet spots. That is, the liquid crystal LCforms lenses which refract light. The liquid crystal lenticular filter1820 may adjust a voltage applied to the transparent electrodes (ITO) soas to adjust the position, direction and arrangement of the liquidcrystal LC. The positions of the lenses formed may be changed accordingto the position, direction and arrangement of the liquid crystal LC andthus the sweet spots may be changed.

The liquid crystal lenticular filter 1820 may have a predeterminednumber of unit electrodes obtained by dividing an electrode included inthe lens, and may apply a voltage corresponding to the shape of a lensto be formed to each of the unit electrodes so as to change a refractiveindex of the liquid crystal, thereby forming the lens.

The liquid crystal lenticular filter 1820 may adjust the voltage appliedto each unit electrode so as to move the lens. That is, the liquidcrystal lenticular filter 1820 applies the voltage to each unitelectrode in order to form the lens to each unit electrode moved by thenumber of unit electrodes having a length corresponding to a desiredmovement distance so as to form a unit lens at a position where the unitlens is moved by the desired movement distance.

The liquid crystal lenticular filter 1820 may activate and deactivatethe liquid crystal LC. If the liquid crystal is activated, a pluralityof lenses is formed and, if the liquid crystal is deactivated, theliquid crystal lenticular filter 1820 does not refract but transmitsincident light.

The controller 1630 may control activation and deactivation of theliquid crystal LC of the liquid crystal lenticular filter 1820. Thecontroller 1630 may control deactivation of the liquid crystal LC of theliquid crystal lenticular filter 1820 if a 2D image is displayed. Thecontroller 1630 may control activation of the liquid crystal LC of theliquid crystal lenticular filter 1820 if a 3D image is displayed.

FIG. 19 is a diagram showing the structure of a lenticular lenssubstrate according to an exemplary embodiment of the present invention.

FIG. 19 is a cross-sectional diagram illustrating the structure of thelenticular lens substrate according to the exemplary embodiment of thepresent invention. Referring to FIG. 19, the lenticular lens substrate1910 may be disposed ahead of the display panel 1610, behind the displaypanel 1610, or between the display panel 1610 and the backlight 1640.

The lenticular lens substrate 1910 may include a lenticular lens 1930which selectively refracts light supplied from the display panel 1610and a lenticular array 1940 which determines a refractive index of thelenticular lens 1930 according to the polarization state of light.

The lenticular lens 1930 includes a concave isotropic layer 1934 and ananisotropic layer 1936. The isotropic layer 1934 may be convex accordingto designer's intention.

The lenticular array 1940 may include two substrates 1942 and a liquidcrystal layer 1945 interposed between the two substrates 1942. Althoughnot limited, a liquid crystal mode such as a Twisted Nematic (TN) modeor Vertical Align (VA) mode in which liquid crystal vertically rotates,an In-Plane Switching (IPS) in which liquid crystal horizontallyrotates, or a Ferroelectric Liquid Crystal (FLC) is applicable to theliquid crystal layer 1945.

In the TN or VA mode in which liquid crystal vertically rotates, anelliptically polarized component among polarized components of light ispresent in the liquid crystal layer. The path of light of theelliptically polarized component is not changed according to thelenticular lens 1930. Thus, the IPS or FLC mode in which liquid crystalhorizontally rotates is preferably applied to the lenticular lens 1930.

FIG. 20 is a diagram showing a light path adjusted according to apolarization state of light input to the lenticular lens substrate ofFIG. 19.

Referring to FIG. 20, if a 2D image is displayed, the controller 1630controls power-off between two substrates 1942. Thus, an electric fieldis not formed between the two substrates 1942 and a refractive index ofthe liquid crystal layer 1945 is not changed.

Accordingly, linearly polarized light C1 received from the display panel1610 passes through the liquid crystal layer 1945 to enter thelenticular lens 1930. Light C2 passing through the liquid crystal layer1945 passes through the isotropic layer 1934 and the anisotropic layer1936 of the lenticular lens 1930. Light C3 passing through thelenticular lens 1930 enters the left eye and right eye of the viewer1701. The viewer 1701 perceives the 2D image through light C3.

If a 3D image is displayed, the controller 1630 may control power-onbetween the two substrates 1942. An electric field is formed between thetwo substrates 1942 and a refractive index of the liquid crystal layer1945 is changed.

Accordingly, linearly polarized light D1 received from the display panel1610 is converted into circularly polarized light by passing through theliquid crystal layer 1945 and is input to the lenticular lens 1930. Thecircularly polarized light D2 passing through the liquid crystal layer1945 is input to the anisotropic layer 1936 of the lenticular lens 1930without state change, but is refracted at a predetermined angle at aninterface between the isotropic layer 1934 and the anisotropic layer1936 according to the circularly polarized state, thereby changing alight path. Light D3, the path of which is changed, is moved to a sweetspot and input to the left eye and right eye of the viewer 1701. Theviewer 1701 perceives a 3D image through the view image input to theleft eye and the view image input to the right eye.

FIG. 21 is a diagram showing a lenticular lens substrate, in which alens is inclined, according to an exemplary embodiment of the presentinvention.

Referring to FIG. 21, the width of the lenticular lens substrate 1620may be equal to the total width of 5 subpixels. That is, the pitch ofthe lenticular lens substrate 1620 may be 5 subpixels. For example, thewidth of the lens 2110 and the lens 2120 correspond to the total width2155 of 5 subpixels.

An edge defining the width of the lens may be inclined with respect to avertical axis 2101 of the display panel. For example, an edge 2111 ofthe lens 2110 is inclined with respect to the vertical axis 2101 of thedisplay panel.

The vertical axis of the lens may be inclined with respect to thevertical axis 2101. For example, the vertical axis 2115 of the lens 2110may be inclined with respect to the vertical axis 2101 of the displaypanel.

The edge of the lens may be formed to pass through a point spaced apartfrom a start point to the left side of the start point by the width ofthe lens and spaced apart from the start point by the total length of apredetermined number of subpixels in the column direction. Thepredetermined number of subpixels may be three subpixels. That is, theedge of the lens may be formed to pass through a point b3 spaced apartfrom a start point a3 to the left side of the start point a3 by thewidth of the lens and spaced apart from the start point a3 by the totallength of three subpixels in the column direction.

An inclination angle α 2151 of the edge or vertical axis of the lens maybe arctan(4Ph/3Pv). Here, Ph denotes the width of the subpixel and Pvdenotes the length of the subpixel. For example, if Pv is three timesPh, the angle α may be arctan(4/9).

The edge of the lens may be inclined to the right or left with respectto the vertical axis 2101 of the display panel. FIG. 21 shows thelenticular lens substrate 1620 in which the edge 2111 of the lens isinclined with respect to the vertical axis 2101 of the display panel1610.

The controller 1630 determines view images which will be displayed atthe subpixels of the display panel 1610. The controller 1630 maydetermine the view images which will be displayed at the subpixels ofthe display panel 1610, according to at least one of the inclinationdirection of the edge of the lens and the number of view images.

If the edge or the vertical axis of the lens is inclined to the right,the controller 1630 may determine a view image having an allocationnumber greater than that of a view image of a previous subpixel in therow direction by a first number, as a view image to be displayed at asubpixel. If the view image having the allocation number greater thanthat of the view image of the previous subpixel by the first number isnot present, the controller 1630 may determine a view image having anallocation number having a difference between the allocation number ofthe view image, which is greater than that of the view image of theprevious subpixel by the first number, and a maximum allocation number,as a view image to be displayed at a subpixel. If the edge or verticalaxis of the lens is inclined to the right, the controller 1630 maydetermine a view image having an allocation number greater than that ofa view image of a previous subpixel in the column direction by a secondnumber, as a view image to be displayed at a subpixel. If the view imagehaving the allocation number greater than that of the view image of theprevious subpixel by the second number is not present, the controller1630 may determine a view image having an allocation number having adifference between the allocation number of the view image, which isgreater than that of the view image of the previous subpixel by thesecond number, and a maximum allocation number, as a view image to bedisplayed at a subpixel. The first number and the second number may bedetermined based on at least one of the inclination angle of the edge orvertical axis of the lens and the number of view images.

If the edge or vertical axis of the lens is inclined to the right withrespect to the vertical axis 2101 of the display panel 1610 by an anglearctan(4/9) and the 3D image display apparatus displays 15 view imagesrespectively having allocation numbers 1 to 15, the controller 1630 maycontrol the same arrangement of view images as arrangement describedwith reference to FIG. 6. The first number and the second number may bedetermined based on the angle 2151. As shown in FIG. 6, the first numbermay be set to 3 and the second number may be set to 4.

The controller 1610 may determine a view image to be displayed at asubpixel of the display panel 1610 to one of two view images based onthe numbers allocated to the subpixels of the display panel 110. Here,one of the two view images may be a left view image and the other of thetwo view images may be a right view image. Here, the numbers may beallocated to the subpixels of the display panel 1610 or may becalculated based on at least one of information detected by thecontroller 1630 or the inclination direction of the edge of thenon-transparent area. The detected information may be informationindicating the positions of the viewer's eyes or information indicatingthe position of a center point of viewer's eyes. The controller 1630 maycalculate the numbers such that the center point of both eyes matches amulti-view center point.

If the edge or vertical axis of the lens is inclined to the right withrespect to the vertical axis 2101 of the display panel 1610, the numberallocated to the subpixel may be determined to a number greater than thenumber allocated to a previous subpixel in a row direction by a fifthnumber. If the number greater than the number allocated to the previoussubpixel by the fifth number is not present, the number allocated to thesubpixel may be determined to a difference between the number greaterthan the number allocated to the previous subpixel by the fifth numberand a maximum number. The number allocated to the subpixel may bedetermined to a number greater than the number allocated to a previoussubpixel in a column direction by a sixth number. If the number greaterthan the number allocated to the previous subpixel by the sixth numberis not present, the number allocated to the subpixel may be determinedto a difference between the number greater than the number allocated tothe previous subpixel by the sixth number and a maximum number. Thecontroller 1630 may determine the view image to be displayed at thesubpixel, to which the above number is allocated, using the methodsdescribed with reference to FIGS. 7 to 9.

The memory 1650 may store information indicating the numbers allocatedto the subpixels of the display panel 1610. The controller 1630 maydetermine the view image to be displayed at the subpixel of the displaypanel to one of two view images based on the stored information. Thecontroller 1630 may calculate the number allocated to the subpixel basedon the stored information and the detected information and determine theview image to be displayed on the display panel 1610 to one of two viewimages. The detected information may be information indicating thepositions of the viewer's eyes or information indicating the position ofthe center point of the viewer's eyes. The controller 1630 may calculatethe numbers such that the center point of both eyes matches a multi-viewcenter point.

FIG. 22 is a diagram showing a lenticular lens substrate, in which alens is inclined, according to an exemplary embodiment of the presentinvention.

FIG. 22 shows the lenticular lens substrate 1620 in which the edge orvertical axis of the lens is inclined to the left with respect to thevertical axis of the display.

Referring to FIG. 22, the edge of the lens may be formed to pass througha point spaced apart from a start point to the right side of the startpoint by the width of the lens and spaced apart from the start point bythe total length of a predetermined number of subpixels in the columndirection. The predetermined number of subpixels may be three subpixels.That is, the edge 2211 of the lens 2210 may be formed to pass through apoint b4 spaced apart from a start point a4 to the right side of thestart point a4 by the width of the lens and spaced apart from the startpoint a4 by the total length of three subpixels in the column direction.The edges of the lens 2210 and the lens 2220 may overlap each other.

An inclination angle α 2251 between the edge 2211 or vertical axis 2215of the lens and the vertical axis 2201 of the display panel may bearctan(4Ph/3Pv). Here, Ph denotes the width of the subpixel and Pvdenotes the length of the subpixel. For example, if Pv is three timesPh, the angle α may be arctan(4/9).

If the edge or vertical axis of the lens is inclined to the left, thecontroller 1630 may determine a view image having an allocation numberless than that of a view image of a previous subpixel in the rowdirection by a third number, as a view image to be displayed at asubpixel. If the view image having the allocation number less than thatof the view image of the previous subpixel by the third number is notpresent, the controller 1630 may determine a view image having anallocation number having a sum of the allocation number of the viewimage, which is less than that of the view image of the previoussubpixel by the third number, and a maximum allocation number, as a viewimage to be displayed at a subpixel. If the edge or vertical axis of thelens is inclined to the left, the controller 1630 may determine a viewimage having an allocation number greater than that of a view image of aprevious subpixel in the column direction by a fourth number, as a viewimage to be displayed at a subpixel. If the view image having theallocation number greater than that of the view image of the previoussubpixel by the fourth number is not present, the controller 1630 maydetermine a view image having an allocation number having a differencebetween the allocation number of the view image, which is greater thanthat of the view image of the previous subpixel by the fourth number,and a maximum allocation number, as a view image to be displayed at asubpixel. The third number and the fourth number may be determined basedon at least one of the inclination angle of the edge of the lens and thenumber of view images.

If the edge or vertical axis of the lens is inclined to the left withrespect to the vertical axis 2101 of the display panel 1610 by an anglearctan(4/9) and the 3D image display apparatus displays 15 view imagesrespectively having allocation numbers 1 to 15, the controller maycontrol the arrangement of view images as arrangement described withreference to FIG. 11. The third number and the fourth number may bedetermined based on the angle 2251. As shown in FIG. 11, the thirdnumber may be set to 3 and the fourth number may be set to 4.

If the edge or vertical axis of the lens is inclined to the left withrespect to the vertical axis 2101 of the display panel 1610, the numberallocated to the subpixel may be determined to a number less than thenumber allocated to a previous subpixel in a row direction by a seventhnumber. If the number greater than the number allocated to the previoussubpixel by the seventh number is not present, the number allocated tothe subpixel may be determined to a sum of the number less than thenumber allocated to the previous subpixel by the seventh number and amaximum number. The number allocated to the subpixel may be determinedto a number greater than the number allocated to a previous subpixel ina column direction by an eighth number. If the number greater than thenumber allocated to the previous subpixel by the eighth number is notpresent, the number allocated to the subpixel may be determined to adifference between the number greater than the number allocated to theprevious subpixel by the eighth number and a maximum number. Thecontroller 1630 may determine the view image to be displayed at thesubpixel, to which the above number is allocated, using the methodsdescribed with reference to FIGS. 12 to 14.

FIG. 23 is a flowchart illustrating a method of displaying a 3D imageaccording to an exemplary embodiment of the present invention.

Referring to FIG. 23, the controller 1630 assigns a view image to bedisplayed at a subpixel of the display panel 1610 (S200). Here, thecontroller 1630 may check an inclination direction or an inclinationangle of the edge defining the width of the lens of the lenticular lenssubstrate 1620 with respect to the vertical axis of the display panel1610. In addition, the controller 1630 may check the number of viewimages included in the 3D image to be displayed. The controller 1630 mayassign the view image to be displayed at the subpixel according to atleast one of the inclination direction or the inclination and the numberof view images.

If the edge or the vertical axis of the lens is inclined to the rightwith respect to the vertical axis of the display panel 1610, thecontroller 1630 may assign the view image to be displayed at thesubpixel using the method described with reference to FIG. 6. If theedge or vertical axis of the lens is inclined to the left with respectto the vertical axis of the display panel 1610, the controller 1630 mayassign the view image to be displayed at the subpixel using the methoddescribed with reference to FIG. 11.

If the edge or vertical axis of the lens is inclined to the right withrespect to the vertical axis of the display panel 1610, the allocationnumbers of the subpixels may be determined according to the arrangementshown in FIG. 6. If the edge or vertical axis of the lens is inclined tothe left with respect to the vertical axis of the display panel 1610,the allocation numbers of the subpixels may be determined according tothe arrangement shown in FIG. 11. The controller 130 may calculate thenumbers allocated to the subpixels based on at least one of theinformation stored in the memory 150, the inclination direction of theedge and the detected information.

In step S200, the controller 1630 may determine the view image to bedisplayed at the subpixel of the display panel 1610 to one of two viewimages based on the number allocated to the subpixel of the displaypanel 1610. The controller 1630 may determine the view image to bedisplayed at the subpixel using the methods described with reference toFIGS. 7 to 9 and 12 to 14.

The display panel 1610 displays the view images (S210). Here, thesubpixels of the display panel 1610 display subpixel values indicated bythe positions and kinds of the subpixels at the view images determinedin step S200. The backlight 1640 may supply light to the display panel1610.

The lenticular lens substrate 1620 refracts light passing through thedisplay panel 1610 (S220). The light refracted by the lenticular lenssubstrate 1620 is moved to a sweet spot according to the principledescribed with reference to FIG. 18 or 20.

The present invention may be implemented as code that can be written ona computer-readable recording medium and can thus be read by aprocessor. The computer-readable recording medium may be any type ofrecording device in which data is stored in a computer-readable manner.Examples of the computer-readable recording medium include a ROM, a RAM,a CD-ROM, a magnetic tape, a floppy disc, an optical data storage, and acarrier wave (e.g., data transmission through the Internet). Thecomputer-readable recording medium can be distributed over a pluralityof computer systems connected to a network so that computer-readablecode is written thereto and executed therefrom in a decentralizedmanner. Functional programs, code, and code segments needed to realizethe embodiments herein can be construed by one of ordinary skill in theart.

According to an apparatus and method for displaying a 3D image of thepresent invention, by suppressing a pattern in which a bright area and adark area are regularly repeated while displaying the 3D image, it ispossible to prevent a moiré phenomenon, minimize vertical resolutiondeterioration, improve crosstalk due to user motion while viewing the 3Dimage, and display both a 2-dimensional (2D) image and the 3D image.

Since a 2-view image is displayed using a multi-view method, it ispossible to provide a wide sweet spot so as to enlarge a viewing angleof a viewer and remarkably reduce crosstalk and flipping generated whilethe viewer moves.

Since the position of the image displayed at the subpixel is changed bytracking the position of the user and the display position of the imageis changed before the user reaches a point where a view image is changedand viewed, it is possible to prevent crosstalk and flipping from beinggenerated due to viewer motion while viewing a 3D image.

It will be apparent to those skilled in the art that variousmodifications and variations can be made in the present inventionwithout departing from the spirit or scope of the inventions. Thus, itis intended that the present invention covers the modifications andvariations of this invention provided they come within the scope of theappended claims and their equivalents.

What is claimed is:
 1. An apparatus for displaying both a perceivedthree-dimensional (3D) image and a 2-dimensional (2D) image, comprising:a display panel having a plurality of subpixels, wherein red, green andblue subpixels are alternately arranged in a row direction of thedisplay panel, and subpixels having a same color are arranged in acolumn direction of the display panel; a 3D image filter provided infront of the display panel, the 3D image filter including a transparentarea and a non-transparent area that are arranged alternately, whereinan edge that defines a width of the non-transparent area is inclinedwith respect to a vertical axis of the display panel; and a controllerto assign a view image to be displayed at a subpixel of the displaypanel based on an inclination angle and an inclination direction of theedge with respect to the vertical axis of the display panel, wherein aninclination angle of the edge is arctan (4Ph/3Pv), wherein Ph representsa width of the subpixel and Pv represents a length of the subpixel, andwherein Pv is three times Ph, wherein the controller controls activationand deactivation of the non-transparent area of the 3D image filteraccording to a kind of the image to be displayed, and the controller isconfigured to: control deactivation of the non-transparent area of the3D image filter when the displayed image is a 2D image, and controlactivation of the non-transparent area of the 3D image filter when thedisplayed image is a 3D image, wherein the perceived 3D image is amulti-view image including three or more images acquired byphotographing a subject using three or more cameras, and a part of theimages less than a number of images included in the multi-view image aredisplayed in one row of the subpixels, wherein two of the part of theimages form a sweet spot for viewing 3D image, wherein the part of theimages is continuously assigned to the subpixels, and wherein thecontroller assigns the multi-view image in the row direction of thedisplay panel by a first number and assigns the multi-view image in thecolumn direction of the display panel by a second number.
 2. Theapparatus according to claim 1, wherein a width of the non-transparentarea of the 3D image filter corresponds to a total width of foursubpixels.
 3. The apparatus according to claim 1, wherein a width of thetransparent area of the 3D image filter corresponds to a width of onesubpixel.
 4. The apparatus according to claim 1, wherein the edge of thenon-transparent area of the 3D image filter is formed to pass through apoint spaced apart from a start point by the width of the nontransparent area in the row direction of the display panel and is spacedapart from the start point by a total length of a predetermined numberof subpixels in the column direction of the display panel.
 5. Theapparatus according to claim 1, wherein the controller controlsactivation and deactivation of the non-transparent area of the 3D imagefilter based on a type of the displayed image.
 6. The apparatusaccording to claim 1, further comprising a backlight behind the displaypanel, the backlight to supply light to the display panel.
 7. Theapparatus according to claim 1, wherein the display panel is a PlasmaDisplay Panel (PDP) or a Liquid Crystal Display (LCD).
 8. The apparatusaccording to claim 1, wherein the perceived 3D image includes 15 viewimages.
 9. The apparatus according to claim 1, wherein the first numberand the second number are 3 or more.
 10. The apparatus according toclaim 1, wherein, when the edge is inclined to the right with respect tothe vertical axis of the display panel, the controller: as a view imageto be displayed at a subpixel, assigns a view image having an allocationnumber greater than that of a view image of a previous subpixel in therow direction by the first number and assigns a view image having anallocation number having a difference between the allocation number ofthe view image, which is greater than that of the view image of theprevious subpixel by the first number, and a maximum allocation numberwhen the view image having the allocation number greater than that ofthe view image of the previous subpixel by the first number is notpresent, and assigns a view image having an allocation number greaterthan that of a view image of a previous subpixel in the column directionby the second number and assigns a view image having an allocationnumber having a difference between the allocation number of the viewimage, which is greater than that of the view image of the previoussubpixel by the second number, and a maximum allocation number whentheview image having the allocation number greater than that of the viewimage of the previous subpixel by the second number is not present. 11.The apparatus according to claim 1, wherein, whenthe edge is inclined tothe left with respect to the vertical axis of the display panel, thecontroller: as a view image to be displayed at a subpixel, assigns aview image having an allocation number less than that of a view image ofa previous subpixel in the row direction by the first number and assignsa view image having an allocation number having a sum of the allocationnumber of the view image, which is less than that of the view image ofthe previous subpixel by the first number, and a maximum allocationnumber whenthe view image having the allocation number less than that ofthe view image of the previous subpixel by the first number is notpresent, and assigns a view image having an allocation number greaterthan that of a view image of a previous subpixel in the column directionby the second number and assigns a view image having an allocationnumber having a difference between the allocation number of the viewimage, which is greater than that of the view image of the previoussubpixel by the second number, and a maximum allocation number whentheview image having the allocation number greater than that of the viewimage of the previous subpixel by the second number is not present. 12.An apparatus for displaying both a perceived three-dimensional (3D)image and a 2-dimensional (2D) image, comprising: a display panel havinga plurality of subpixels, wherein red, green and blue subpixels arealternately arranged in a row direction of the display panel, andsubpixels having a same color are arranged in a column direction of thedisplay panel; a lenticular lens substrate provided in front of thedisplay panel, the lenticular lens substrate including a plurality oflenses, wherein a vertical axis of each lens is inclined with respect toa vertical axis of the display panel; and a controller to assign a viewimage to be displayed at a subpixel of the display panel based on aninclination angle and an inclination direction of the vertical axis ofthe lens with respect to the vertical axis of the display panel, whereinan inclination angle of the edge is arctan (4Ph/3Pv), wherein Phrepresents a width of the subpixel and Pv represents a length of thesubpixel, and wherein Pv is three times Ph, and wherein the controllercontrols activation and deactivation of a non-transparent area of a 3Dimage filter according to a kind of the image to be displayed, and thecontroller is configured to: control deactivation of the non-transparentarea of the 3D image filter when the displayed image is a 2D image, andcontrol activation of the non-transparent area of the 3D image filterwhen the displayed image is a 3D image, wherein the perceived 3D imageis a multi-view image including three or more images acquired byphotographing a subject using three or more cameras, and a part of theimages less than a number of images included in the multi-view image aredisplayed in one row of the subpixels, wherein two of the part of theimages form a sweet spot for viewing 3D image, wherein the part of theimages is continuously assigned to the subpixels, and wherein thecontroller assigns the multi-view image in the row direction of thedisplay panel by a first number and assigns the multi-view image in thecolumn direction of the display panel by a second number.
 13. Theapparatus according to claim 12, wherein a width of the lens correspondsto a total width of 5 subpixels.
 14. The apparatus according to claim12, wherein an inclination angle α of the vertical axis of the lens isarctan (4Ph/3Pv), wherein Ph represents a width of the subpixel and Pvrepresents a length of the subpixel.
 15. The apparatus according toclaim 12, wherein: the lenticular lens substrate further includes alenticular array to convert transmitted light into circularly polarizedlight, and the controller controls activation and deactivation of thelenticular array based on a type of the displayed image.
 16. Theapparatus according to claim 12, further comprising a backlight behindthe display panel, the backlight to supply light to the display panel.17. The apparatus according to claim 12, wherein the display panel is aPlasma Display Panel (PDP) or a Liquid Crystal Display (LCD).
 18. Theapparatus according to claim 12, wherein the multi-image view includes15 view images.
 19. The apparatus according to claim 12, wherein thefirst number and the second number are 3 or more.
 20. The apparatusaccording to claim 12, wherein, whenthe vertical axis of the lens isinclined to the right with respect to the vertical axis of the displaypanel, the controller: as a view image to be displayed at a subpixel,assigns a view image having an allocation number greater than that of aview image of a previous subpixel in the row direction by the firstnumber and assigns a view image having an allocation number having adifference between the allocation number of the view image, which isgreater than that of the view image of the previous subpixel by thefirst number, and a maximum allocation number whenthe view image havingthe allocation number greater than that of the view image of theprevious subpixel by the first number is not present, and assigns a viewimage having an allocation number greater than that of a view image of aprevious subpixel in the column direction by the second number andassigns a view image having an allocation number having a differencebetween the allocation number of the view image, which is greater thanthat of the view image of the previous subpixel by the second number,and a maximum allocation number whenthe view image having the allocationnumber greater than that of the view image of the previous subpixel bythe second number is not present.
 21. The apparatus according to claim12, wherein, whenthe vertical axis of the lens is inclined to the leftwith respect to the vertical axis of the display panel, the controller:as a view image to be displayed at a subpixel, assigns a view imagehaving an allocation number less than that of a view image of a previoussubpixel in the row direction by the first number and assigns a viewimage having an allocation number having a sum of the allocation numberof the view image, which is less than that of the view image of theprevious subpixel by the first number, and a maximum allocation numberwhenthe view image having the allocation number less than that of theview image of the previous subpixel by the first number is not present,and assigns a view image having an allocation number greater than thatof a view image of a previous subpixel in the column direction by thesecond number and assigns a view image having an allocation numberhaving a difference between the allocation number of the view image,which is greater than that of the view image of the previous subpixel bythe second number, and a maximum allocation number whenthe view imagehaving the allocation number greater than that of the view image of theprevious subpixel by the second number is not present.
 22. A method ofdisplaying both a perceived three-dimensional (3D) image and2-dimensional (2D) image on a display panel having a plurality ofsubpixels, the method comprising: assigning view images to be displayedat subpixels of the display panel from among a plurality of view imagesbased on an inclination angle and an inclination direction of an edgethat defines a width of a non-transparent area of an image filter,wherein an inclination angle of the edge is arctan (4Ph/3Pv), wherein Phrepresents a width of the subpixel and Pv represents a length of thesubpixel, and wherein Pv is three times Ph; displaying the assigned viewimages through the subpixels of the display panel; controllingdeactivation of the non-transparent area of the image filter when thedisplayed image is a 2D image; and controlling activation of thenon-transparent area of the image filter when the displayed image is a3D image, wherein the edge of the non-transparent area is inclined withrespect to a vertical axis of the display panel, and red, green and bluesubpixels are alternately arranged in a row direction of the displaypanel, and subpixels having a same color are arranged in a columndirection of the display panel, wherein the perceived 3D image is amulti-view image including three or more images acquired byphotographing a subject using three or more cameras, and a part of theimages less than a number of images included in the multi-view image aredisplayed in one row of the subpixels, wherein two of the part of theimages form a sweet spot for viewing 3D image, wherein the part of theimages is continuously assigned to the subpixels, and wherein assigningview images includes assigning the multi-view image in the row directionof the display panel by a first number and assigning the multi-viewimage in the column direction of the display panel by a second number,and wherein the first number and the second number are 3 or more. 23.The method according to claim 22, further comprising separating thedisplayed view images using a transparent area of the image filterformed between non-transparent areas of the image filter.
 24. The methodaccording to claim 22, further comprising refracting the displayed viewimages using a lens.
 25. The method according to claim 22, wherein themulti-view image includes 15 view images.